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Combinatorial Methods

von Alexander Mikhalev, Jie-Tai Yu und Vladimir Shpilrain
Softcover - 9781441923448
53,49 €
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Hardcover - 9780387405629
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Hardcover - 9780387405629
53,49 €

Beschreibung

This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important area of mathematics with its own powerful techniques. In the 1950s, combinatorial group theory started to influence, rather substantially, the theory of Lie algebrasj thus combinatorial theory of Lie algebras was shaped, although the origins of the theory can be traced back to the 1930s. In the 1960s, B. Buchberger introduced what is now known as Gröbner bases. This marked the beginning of a new, "combinatorial", era in commu tative algebra. It is not very likely that Buchberger was directly influenced by ideas from combinatorial group theory, but his famous algorithm bears resemblance to Nielsen's method, although in a more sophisticated form.

Free Groups, Polynomials, and Free Algebras

Free Groups, Polynomials, and Free Algebras

Details

Verlag Springer US
Ersterscheinung 14. Dezember 2011
Maße 23.5 cm x 15.5 cm
Gewicht 499 Gramm
Format Softcover
ISBN-13 9781441923448
Auflage Softcover reprint of the original 1st edition 2004
Seiten 315

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